License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2023.20
URN: urn:nbn:de:0030-drops-174818
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/17481/
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Fisman, Dana ; Grogin, Joshua ; Weiss, Gera

A Normalized Edit Distance on Infinite Words

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LIPIcs-CSL-2023-20.pdf (1 MB)

Abstract

We introduce ω^ ̅-NED, an edit distance between infinite words, that is a natural extension of NED, the normalized edit distance between finite words. We show it is a metric on (equivalence classes of) infinite words. We provide a polynomial time algorithm to compute the distance between two ultimately periodic words, and a polynomial time algorithm to compute the distance between two regular ω-languages given by non-deterministic Büchi automata.

BibTeX - Entry

@InProceedings{fisman_et_al:LIPIcs.CSL.2023.20,
  author =	{Fisman, Dana and Grogin, Joshua and Weiss, Gera},
  title =	{{A Normalized Edit Distance on Infinite Words}},
  booktitle =	{31st EACSL Annual Conference on Computer Science Logic (CSL 2023)},
  pages =	{20:1--20:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-264-8},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{252},
  editor =	{Klin, Bartek and Pimentel, Elaine},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/17481},
  URN =		{urn:nbn:de:0030-drops-174818},
  doi =		{10.4230/LIPIcs.CSL.2023.20},
  annote =	{Keywords: Edit Distance, Infinite Words, Robustness}
}

Keywords: Edit Distance, Infinite Words, Robustness
Collection: 31st EACSL Annual Conference on Computer Science Logic (CSL 2023)
Issue Date: 2023
Date of publication: 01.02.2023

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